Answer
$x^2+10x+16$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(x+8)(x+2)
,$ is
\begin{array}{l}\require{cancel}
x(x)+x(2)+8(x)+8(2)
\\\\=
x^2+2x+8x+16
\\\\=
x^2+10x+16
.\end{array}